What is the Greatest Common Factor of 67600 and 67609?

Greatest common factor (GCF) of 67600 and 67609 is 1.

GCF(67600,67609) = 1

We will now calculate the prime factors of 67600 and 67609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67600 and 67609.

How to find the GCF of 67600 and 67609?

We will first find the prime factorization of 67600 and 67609. After we will calculate the factors of 67600 and 67609 and find the biggest common factor number .

Step-1: Prime Factorization of 67600

Prime factors of 67600 are 2, 5, 13. Prime factorization of 67600 in exponential form is:

67600 = 2⁴ × 5² × 13²

Step-2: Prime Factorization of 67609

Prime factors of 67609 are 17, 41, 97. Prime factorization of 67609 in exponential form is:

67609 = 17¹ × 41¹ × 97¹

Step-3: Factors of 67600

List of positive integer factors of 67600 that divides 67600 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 169, 200, 208, 260, 325, 338, 400, 520, 650, 676, 845, 1040, 1300, 1352, 1690, 2600, 2704, 3380, 4225, 5200, 6760, 8450, 13520, 16900, 33800

Step-4: Factors of 67609

List of positive integer factors of 67609 that divides 67600 without a remainder.

1, 17, 41, 97, 697, 1649, 3977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67600 and 67609. The biggest common factor number is the GCF number.
So the greatest common factor 67600 and 67609 is 1.

Also check out the Least Common Multiple of 67600 and 67609